A solid has square cross-sections perpendicular to the x-axis

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A solid has square cross-sections perpendicular to the x-axis. Its base is the region under the graph of

y = \sin x

and above the x-axis from

x = a

x = \pi

, where

0 < a < \pi

. The volume of the solid is

1

cubic unit. Approximating to the nearest hundredth, determine the value of

a